Planimetrics - math word problems - page 43 of 185
Number of problems found: 3683
- Isosceles 7929
ABCD isosceles trapezoid. A = 6cm, e = 7cm and delta angle = 105 °. Calculate the remaining pages. - Parallelogram 6385
The parallelogram is given by: a, b is adjacent sides, va, vb - the respective heights to the individual sides. Calculate its side a, if b = 6cm, va = 3cm, vb = 4cm - Parallelogram 5509
The parallelogram has a side 6 cm long, and the height on this side is 4 cm long. What is the height of an isosceles triangle with a base 6 cm long and the same area? - Dimensions 4118
The width of the rectangle is 17 cm smaller than its length. The perimeter of the rectangle measures 0.9 m. Find the remaining dimensions and calculate their area. - Michael 2
Michael has a 35-foot ladder leaning against the side of his house. If the bottom of the ladder is 21 feet away from his house, how many feet above the ground does the ladder touch the house? - Darnell
Darnell is mountain climbing with Kirk and has just climbed a 9-meter vertical rock face. Kirk is standing at the bottom of the cliff, looking up at Darnell. If Kirk is 15 meters away from Darnell, how far away from the cliff is Kirk standing? - Diagonal 20
The rectangular town plaza's diagonal pathway is 20 m longer than the width. Suppose the pathway is 20 m shorter than twice the width. How long should the pathway be? - Rectangular meadow
Divide the rectangular meadow with dimensions of 1280m and 320m into a square shepherd with the longest possible side of the square. How many square pastures did you divide the meadow? - A mast
The wind broke a mast 32 meters high so that its top touched the ground 16 meters from the pole. The still-standing part of the mast, the broken part, and the ground form a rectangular triangle. At what height was the mast broken? - Fence
The square garden has an area of 537 m². How many meters of netting is necessary to fence it? - Matches
George poured out-of-the-box matches and composed their triangles, and no match was left. Then he tried squares, hexagons, and octagons, and no match was left. How many matches must be at least in the box? - Rectangles - sides
One side of the rectangle is 16 cm longer than a second. Shortening the longer side by 6 cm and extending the shorter by 9 cm increases the rectangle area by 250 cm². What are the dimensions of the original rectangle? - Parallelogram 5685
Calculate the height of the parallelogram, which has an area of 2.31 square meters and a side of 15.4 cm. - Quadrilateral 7583
For the sizes of the interior angles of the quadrilateral ABCD, the following applies: the angle alpha is 26° greater than the angle beta, twice the angle Beta is 5° less than the angle gamma, and the angle gamma is 36° greater than the angle delta. Deter - Circumference 6312
The triangle has a circumference of 35 cm. The first side is four centimeters larger than the second and, at the same time, 1 cm larger than the third side. Determine the sides of the triangle. - Parallelogram 6288 Find the interior angles of the parallelogram if you know that one of them is 50 degrees larger than the other.
- Circumference 5254
Calculate the shorter side and the diagonal of the rectangle if one side is 2 cm longer than the other and its circumference is equal to 70 centimeters. - Rectangles: 3540
The dimensions of the left rectangle are 4 cm and (x+1) cm. The right rectangle consists of two rectangles: the upper one with dimensions of 3 cm and x cm and the lower one with an area of 7 cm². We know that the area of the left rectangle is the same as - Dimensions 3159
The rectangle is 6 cm longer than the width. A square with a side equal to the length of the rectangle has an area of 78 cm² larger than the rectangle. Calculate the dimensions of the rectangle. - Gale and spruce
A mighty gale broke the top of the fifteen-year spruce, resting it on the ground. The distance of this top from the trunk was 4.6 m below. At what height was the spruce trunk broken?
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